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12
Using
the
System
Identification
T
ool
GUI
12-24
1
2
...
519
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User’s Guide
1
508-647-7000 (Phone)
2
508-647-7001 (Fax)
2
The MathWorks, Inc
2
3 Apple Hill Drive
2
Natick, MA 01760-2098
2
Revision History
3
About the Developers
5
Linear Model Identification
10
Modeling)
15
Model Analysis
17
Simulation and Prediction
19
Contents
22
Types of Data You Can Model
27
Sampling Intervals
28
- For a data set with N
29
SamplingInstants
30
Ys GsUs() () ()=
33
Representing Data in the GUI
35
Importing Time
37
Domain Data into the GUI
37
0. For more information
41
Prerequisite
43
Specifying
51
Creating Multie
55
Extracting
59
Set into a New Data Set
59
Viewing Data Properties
62
Information About the Data
64
Distinguishing
65
Data Types i n the GUI
65
Organizing Data Icons
65
Subreferencing iddata Objects
77
Naming, Adding
85
Concatenating i
87
Concatenating idfrd Objects
93
Supported Data Plots
97
How to Plot Data in the GUI
98
Working with a Time Plot
99
1 Data Processing
100
Selecting Subsets of Data
108
Selecting Data U
109
Handling Outliers
113
See Also
115
When Not to Detrend Data
117
For example, Ynew = Ysim+y0
121
Resampling Data
122
Using the GUI
123
Resampling
123
Data at the Command Line
123
Filtering D ata
129
Filtering Data
131
Simple Passband Filter
133
Causal and Noncausal Filters
135
Transforming Time-Domain Data
141
Data Processing
146
Transform
149
Choosing Your System
155
Identification Strategy
155
Continuous-Time Models
158
Discrete-Time Models
158
ODEs (Grey-Box Models)
158
Nonlinear Models
159
Nonlinear Black-Box Models
160
Commands for Model Estimation
163
Model Proper ties
168
- Algorithm
169
- EstimationIn fo
170
3 Linear Model Identification
180
Yz GzUz() () ()=
180
Data Suppor ted b
181
How to Estimate
181
How to Estimate F
183
Command Line
183
What Is Frequency Resolution?
185
Spectral Analysis Algorithm
186
Linear Model Identification
188
() ( )=−
193
Step Respo nse Plot
197
Gqut gkut k
198
()() ()( )=−
198
What Is a Process Model?
200
All real or
203
Underdamped
203
Options for Initial States
217
Polynomial Model Structure
220
Ty pes of Supported Data
226
Input Delays
227
[1:10 1:10 1:10]
229
2 and that there is a good
233
Number of parameters =+nn
234
Before You Begin
235
None. Skipping uncertainty
237
Aqyt B qu t nk Cqet
245
()() () ()()=−
245
For example:
249
What Are State-Space Models?
251
Discrete-Time Representation
253
State Matrices
253
Data Supported b
255
Why Estimate Model Orders?
257
State Space: n [n k]
263
4[11]for a fourth-order
263
Supported State-Space Models
265
Parameterization
269
Structured Parameterization?
274
When to Refine Models
281
Guesses at the Command Line
285
Representations
290
Effects on the Noise Model
293
Subreferencing Model Objects
297
Concatenating Model Objects
302
Merging Model Objects
306
Nonlinear Black-Box Model
307
Identification
307
and linear trends
308
Using Regressors
312
1 because the prediction of
313
2), y ou
313
Using Custom Regressors
314
None for t he Nonlinearity
315
How to Estimate N
316
General nlarx Syntax
318
Ha mmerstein-Wiener
324
TypesofNonlinearityEstimators
331
Hammerstein-Wi
337
Nonlinear M odel?
339
Models for a Given Input
340
ODE Parameter Estimation
345
(Grey-Box Modeling)
345
Supported Grey-Box Models
346
Model for Heat Diffusion
353
Model = pem(data,Minit)
359
Simulation Method
364
Search Method
364
Gradient Options
365
Time Series Model
369
What Are Time-Series Models?
370
Preparing Time-Series Data
371
Linear or Logarithmic
372
Linear option is available
372
Estimating AR and ARMA Models
375
ARMA:[na nc]
376
Ny-by-Ny
376
Recursive Techniques for
385
Model Identi fication
385
What Is Recursive Estimation?
386
Kalman Filter Algorithm
392
Forg etting Factor Algorithm
394
0.97 and 0.995
395
0.9 7 to 0.995
395
Algorithm
396
Data Segmentation
398
8 Model Analysis
400
Plotting Models in the GUI
403
Active model
404
Inactive model
404
Plots the model
404
Getting Advice A
405
Supported Model Types
415
How to Plot Resid
419
Example – Ex
419
OutputName is the name of the
427
0 and the
427
What Is Frequency Response?
430
How to Plo
433
[1:.1:100]
435
Creating Noise-Spectrum Plots
438
Supported Models
445
Reducing Model O
449
Definition of FPE
459
Computing FPE
460
Definition of AIC
460
Computing AIC
461
Computing Model Uncertainty
462
Troubleshooting Models
465
Substantial Noi
467
Unstable M
467
Complicated Nonlinearities
469
9 Simulation and Prediction
474
Model at the Comm
478
479
Specifying Initial States
480
Using Identified Models in
483
Control Design
483
Identified Models
484
Using balred to R
485
Compensator D
485
Software
485
What Is the LTI Viewer?
487
Combining Model Objects
488
Using System Identification
491
Toolbox Blocks
491
Preparing Data
494
Identifying L inear Models
495
Simulating Model Output
496
Using the System
501
Identification Tool GUI
501
Starting a New Se
504
Tool GUI
505
Opening a Saved Session
506
Deleting a Session
507
Getting Help in the GUI
507
Managing Models in the GUI
509
Viewing Model Pr
510
Renaming Models
511
Organizing
511
Model Icons
511
Deleting Models in the GUI
512
Workspace
513
Changing
516
Setting Axis Limits
517
Grid, Line Style
519
Opening a Plo
519
Printing Plots
520
TypesofGUICustomization
521
Saving Session Preferences
521
Modifying idlayout.m
522
levels 1-94
529
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